2051378784 has 432 divisors, whose sum is σ = 7520228352. Its totient is φ = 538596864.

The previous prime is 2051378783. The next prime is 2051378837. The reversal of 2051378784 is 4878731502.

2051378784 is a `hidden beast` number, since 205 + 1 + 378 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051378783) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198897 + ... + 9199119.

It is an arithmetic number, because the mean of its divisors is an integer number (17407936).

Almost surely, 2^2051378784 is an apocalyptic number.

2051378784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760114176).

2051378784 is an abundant number, since it is smaller than the sum of its proper divisors (5468849568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2051378784 is a wasteful number, since it uses less digits than its factorization.

2051378784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2051378784 is about 45292.1492534854. The cubic root of 2051378784 is about 1270.6188283483.

The spelling of 2051378784 in words is "two billion, fifty-one million, three hundred seventy-eight thousand, seven hundred eighty-four".